LEADER 02649nam 2200493 450 001 9910813480403321 005 20230817122001.0 010 $a1-119-57516-8 010 $a1-119-48282-8 010 $a1-119-57514-1 035 $a(CKB)4100000007586980 035 $a(MiAaPQ)EBC5649552 035 $a(Au-PeEL)EBL5649552 035 $a(OCoLC)1084355670 035 $a(EXLCZ)994100000007586980 100 $a20190214d2019 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDiscrete mechanics $econcepts and applications /$fJean-Paul Caltagirone 210 1$aLondon, UK ;$aHoboken, NJ :$cISTE :$cWiley,$d2019. 215 $a1 online resource 225 1 $aTHEi Wiley ebooks 311 $a1-78630-283-7 327 $aFundamental Principles of Discrete Mechanics -- Conservation of Acceleration -- Conservation of Mass, Flux and Energy -- Properties of the Discrete Formulation -- Two-Phase Flows, Capillarity and Wetting -- Stresses and Strains in Solids -- Multiphysical Extensions. 330 $aThe discrete vision of mechanics is based on the founding ideas of Galileo and the principles of relativity and equivalence, which postulate the equality between gravitational mass and inertial mass. To these principles are added the Hodge-Helmholtz decomposition, the principle of accumulation of constraints and the hypothesis of the duality of physical actions. These principles make it possible to establish the equation of motion based on the conservation of acceleration considered as an absolute quantity in a local frame of reference, in the form of a sum of the gradient of the scalar potential and the curl of the vector potential. These potentials, which represent the constraints of compression and rotation, are updated from the discrete operators. Discrete Mechanics: Concepts and Applications shows that this equation of discrete motion is representative of the compressible or incompressible flows of viscous or perfect fluids, the state of stress in an elastic solid or complex fluid and the propagation of nonlinear waves. 410 0$aTHEi Wiley ebooks. 606 $aMechanics, Analytic 606 $aNonlinear mechanics 606 $aFluid mechanics 615 0$aMechanics, Analytic. 615 0$aNonlinear mechanics. 615 0$aFluid mechanics. 676 $a531 700 $aCaltagirone$b Jean-Paul$0895423 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910813480403321 996 $aDiscrete mechanics$94035975 997 $aUNINA